Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT512	COMPLEX ANALYZE II	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce to the student fundamental principles in complex anaysis.

Name of Lecturer(s)

Doç. Dr. Abdullah SÖNMEZOĞLU

Learning Outcomes

1	To apply the basic principles of complex analysis problems.
2	To express the Riemann's conformal mapping theorem.
3	To explain the Dirichlet problem

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Conformal transformations Reimann conformal mapping theoerm Unit disc, conformal transformations Drichlet problem for disk Analytic Continuation Riemann Surfaces Weierstrass P Function Gamma Functions Weierstrass method, Riemann method and Schwartz symmetry principle, Singular points, Cauchy kernel functions, Hölder condition, Plemenj-Sokhotski formulas, Hilbert problem, Wiener-Hopf problem

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Conformal transformations
2	Reimann conformal mapping theoerm
3	Reimann conformal mapping theoerm
4	Unit disc, conformal transformations
5	Unit disc, conformal transformations
6	When the disk for the Drichlet problem
7	Analytic Continuation
8	MID TERM EXAM
9	Analytic Continuation
10	Riemann Surfaces
11	Riemann Surfaces
12	Weierstrass P Function
13	Weierstrass P Function
14	Gamma Functions
15	Gamma Functions
16	FINAL EXAM

Recommended or Required Reading

M.I. Marcushewich, Theory of Functions of a Complex Variables,AMS, 2005. T. Başkan , Complex Function Theory, Vipaş Publications, 2000.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Self Study	14	2	28
Individual Study for Mid term Examination	7	7	49
Individual Study for Final Examination	7	7	49
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High